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Algebra: Types of Relations 150 150 SchoolTutoring Academy

Algebra: Types of Relations

A relation from a set A to set B  is nothing but a subset of the cartesian product of A and B which is denoted by AXB. The types of relations are nothing but their properties. There are different types of relations namely reflexive, symmetric, transitive and anti symmetric which are defined and explained as…

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I/He/She vs. Me/Him/Her and Who vs. Whom 150 150 Suzanne

I/He/She vs. Me/Him/Her and Who vs. Whom

I, he, and she are personal pronouns used when referring to a person as a subject of a sentence. Me, him, and her are alternate forms of the same personal pronouns, forms used while referring to a person as an object of a sentence. Many untrained writers (and speakers!) are often confused about which forms…

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Random Variables: Mean, Variance and Standard Deviation 150 150 SchoolTutoring Academy

Random Variables: Mean, Variance and Standard Deviation

When determining characteristics of a variable, there are a variety of data points that can be determined. For all of our examples shown today, we will let X be the random variable with the possible values xi, for i=1,2,…..,n with the corresponding probabilities P(X=xi), i=1,2,,…..n. Mean: The mean of a random variable is the average…

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Which and That – The Nuts and Bolts of Restrictive vs Non-Restrictive Clause 150 150 Suzanne

Which and That – The Nuts and Bolts of Restrictive vs Non-Restrictive Clause

Which and that are commonly used words for introducing a detail within a sentence. The decision to use which or that is dependent on whether the phrase containing said detail intends to add distinction or embellishment to the subject of the sentence. Restrictive Clause, That When a detail clause is pivotal to defining the subject…

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Cognitive Friday: How Memory Works in Learning 150 150 Suzanne

Cognitive Friday: How Memory Works in Learning

One amazing thing about children is the many, many songs for which they have memorized the lyrics. There is something about how the musical harmony helps the memory process work, and maximizes what memory can do. The frustration to teachers is why students aren’t quite able to amass the same amount of working or long-term…

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Algebra: The Subject of a Formula and Substitution 150 150 SchoolTutoring Academy

Algebra: The Subject of a Formula and Substitution

The subject of the formula is the variable which is on the left hand side of the formula. The subject of the formula can be changed using algebraic operations. Equations with different subjects can be derived using a single formula. We can make any variable of the formula into its subject. The process of changing…

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Algebra: Operations on Like Terms 150 150 SchoolTutoring Academy

Algebra: Operations on Like Terms

Like terms are the mathematical terms with the same bases and same exponents. The process of adding/subtracting the like terms is mostly used while doing the operations on polynomials. Example: 2x and 3x are like terms. x^3  and 2x^3 are like terms. x^2 and x^2y^2 are not like terms because the second term is including…

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Essay Tips for Writing About a Subject 150 150 Suzanne

Essay Tips for Writing About a Subject

While writing about a person, a place, or a thing, it is helpful to provide your reader with informative insights, which your reader would not readily ‘drum up’ on their own. A writer may achieve this by way of simple pre-writing exercises for developing a study of their subject matter, preceding a first draft. The…

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Algebra: Forming a Formula 150 150 SchoolTutoring Academy

Algebra: Forming a Formula

A formula is a mathematical statement which represents the relation between the values of the variables. A formula is used to find the value of any variable which is included in it. For doing this, all the values of the variables must be known which are included in the formula except the variable which needs…

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Writing the Equation of Perpendicular Lines 150 150 SchoolTutoring Academy

Writing the Equation of Perpendicular Lines

Two lines are said to be perpendicular if the angle between them is 90º (90 degrees). There is a result on perpendicular line which states: Two lines are perpendicular if and only if the product of their slopes is -1. i.e. If the slopes of two lines which are perpendicular are m1 and m2 then…

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